\(\frac{58}{63}\)và \(\frac{36}{55}\)
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Mình nghĩ ra câu a rồi!
Ta có: 58/63 > 54/63=6/7
Mà 6/7=36/42 > 36/55
Vậy 58/63 > 36/55.
Mình làm câu b trước nha!
31/41 = 310/410
Ta có: 310/410 = 1-100/410 ; 313/413 = 1-100/413
Ta thấy: 100/410 > 100/413 => 1-100/410 < 1-100/413
Vậy 31/41 < 313/413.
\(\frac{58}{89}\)& \(\frac{36}{53}\)
Ta có :
\(\frac{58}{89}\)= \(\frac{58.53}{89.53}\)=\(\frac{3074}{4717}\) ; \(\frac{36}{53}\)=\(\frac{36.89}{53.89}\)=\(\frac{3204}{4717}\)
Vậy \(\frac{58}{89}\)< \(\frac{36}{53}\)
\(\frac{58}{63}\)& \(\frac{36}{55}\)
Ta có:
\(\frac{58}{63}\)=\(\frac{58.55}{63.55}\)=\(\frac{3190}{3465}\) ; \(\frac{36}{55}\)=\(\frac{36.63}{55.63}\)=\(\frac{2268}{3465}\)
Vậy \(\frac{58}{63}\)> \(\frac{36}{55}\)
a) \(\frac{1}{3}+\frac{1}{15}+\frac{1}{35}+\frac{1}{63}+\frac{1}{99}+\frac{1}{143}+\frac{1}{195}\)
\(=\frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+\frac{1}{9.11}+\frac{1}{11.13}+\frac{1}{13.15}\)
\(=\frac{1}{2}.\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{13}-\frac{1}{15}\right)\)
\(=\frac{1}{2}.\left(1-\frac{1}{15}\right)\)
\(=\frac{1}{2}.\frac{14}{15}\)
\(=\frac{14}{30}=\frac{7}{15}\)
a)
\(=\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+\frac{1}{9.11}+\frac{1}{11.13}+\frac{1}{13.15}\)
\(=2\left(\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+\frac{2}{9.11}+\frac{2}{11.13}+\frac{2}{13.15}\right)\)
\(=2\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\frac{1}{9}-\frac{1}{11}+\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}\right)\)
\(=2\left(1-\frac{1}{15}\right)\)
\(=2.\frac{14}{15}\)
\(=\frac{28}{15}\)
b)
\(=1+\frac{2}{6}+\frac{2}{12}+\frac{2}{20}+\frac{2}{30}+\frac{2}{42}+\frac{2}{56}+\frac{2}{72}+\frac{2}{90}+\frac{2}{110}+\frac{2}{132}\)
\(=1+\frac{2}{2.3}+\frac{2}{3.4}+\frac{2}{4.5}+\frac{2}{5.6}+\frac{2}{6.7}+\frac{2}{7.8}+\frac{2}{8.9}+\frac{2}{9.10}+\frac{2}{10.11}+\frac{2}{11.12}\)
\(...\)
1. \(-2+\frac{-5}{8}=\frac{-16}{8}+\frac{-5}{8}=\frac{-21}{8}\)
2. \(\frac{55}{121}+\frac{36}{-63}=\frac{5}{11}+\frac{-4}{7}=\frac{35}{77}+\frac{-44}{77}=\frac{-9}{77}\)
-2+-5/8
=-2/1+-5/8 MSC:8
=-16/8+-5/8
=-21/8
CHÚC BẠN HC THẬT TỐT!
a: 58/63=3190/3465
36/55=2268/3465
=>58/63>36/55
b: 27/53=1998/3922
36/74=1908/3922
=>27/53>36/74
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